Skip the stirrer / kalk reactor, there's really no point to them. Mix your kalk in the largest reservoir you can, let it settle a bit (if you want to, personally I never stop my dosing pump even when mixing more), and dispense top off from a few inches from the bottom. If you leave it undisturbed, the top will form a crust and any extra will precipitate to the bottom, waiting to be mixed into the next batch. Kalk won't degrade if you put it in a still reservoir, mix it, and leave it. The $300 you'd spend on a stirrer / reactor is so much better spent on a dosing pump like a Litermeter III -- which to me is ideal for dosing kalk, needs to be adjusted once every few months for seasonal evaporation changes but is basically fail safe.
Your 30g drum is perfect, but only use the stirring pump when mixing up more -- any more stirring only degrades the potency by aerating it. Make sure the feed to your ATO is not on the bottom of the drum where the precipitate could be dosed, and go for it.